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3 years ago

5x+10=24-2x what is this called?

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

6 0

This is a one variable equation in algebra.

X = 2

Oliga [24]3 years ago

3 0

5x+2x=24-10
7x=14
x=14\7=2
this is a linear equation.
I hope this helps you!

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An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa

melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

We need a sample size of at least n.

n is found when M = 3. We have that $\sigma = 18$ .

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.645*\frac{18}{\sqrt{n}}$

$3\sqrt{n} = 1.645*18$

Simplifying by 3

$\sqrt{n} = 1.645*6$

$(\sqrt{n})^{2} = (1.645*6)^{2}$

$n = 97.41$

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

8 0

3 years ago

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles

Olin [163]

Answer: $24+3r\geq100$

r=26

Step-by-step explanation:

Given: Mrs. Morton rewards her students on behave well by putting 3 marbles into a marble jar.

If the jar contains 24 marbles. and r represent the number of additional times the class is rewarded then the required equation will be

$24+3r\geq100$

If we solve it, we will get the minimum the jar contains 24 marbles.

To solve equation, subtract 24 from both sides, we get

$3r\geq100-24\\\Rightarrow3r\geq76\\\Rightarrow\ r\geq\frac{76}{3}\geq25.333\approx 26$

Hence, the minimum whole number of additional times they need to be rewarded so they can have a party=26

3 0

4 years ago

Read 2 more answers

Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, th

Igoryamba

Answer:

Martin is 40 and Ada is 14

Step-by-step explanation:

Martin's age = m
Ada's age = a

Martin is two years younger than three times his daughter Ada’s age:

m = 3a - 2

The sum of their ages is 54:

m + a = 54

Solving this equation for m:

m = 54 - a

Eliminate m:

3a - 2 = 54 - a

Solve for a:

3a + a = 54 + 2
4a = 56
a = 56/4
a = 14

Find m:

m = 54 - 14 = 40

Martin is 40 and Ada is 14

8 0

3 years ago

Plz help i beg PLZZZZZZ NO SKIPPP

schepotkina [342]

Answer:

8×3=24

so the answer is c

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3 years ago

Read 2 more answers

which function rule is represented by the tablex 0 1 2 3y 0 -7 -14 -21a y= 7xb y= -7xc y= x-8d y= 7x-14

salantis [7]

The answer is y = -7x

Expalnation

Two points on the table are (0,0) and (1,-7)

Change in y = -7-0 = -7

Change in x = 1-0 = 1

Slope m of the function = -7/1= -7

Using y= mx + c

Picking point (0,0), x = 0, y = 0

y = mx + c becomes

0 = -7(0) + c

0 = 0 + c

c= 0

Hence, the equation is y = -7x + 0

which is y = -7x

Option b is the correct answer

8 0

2 years ago